I need help completing the square for the following problems:?

nile-star

f(x)= x^2 +2x -5

j(z)= 2z^2-4z-9

y=x^2+8x+4x

y=x^2+10x+24

y=x^2+8x+13

f(x)=x^2-6x-4

r(s)=-9s^2+54s-11

anonymous

first, put any constants on the other side of the equation.

using the first as an example:

x^2 + 2x = 5

Then for each term involving the variable to the 1st power (in this case it's the 2x)

then divide that coefficient by 2 and square it. then add that to the other side (since you added that to this side so you must do the same to the other.

(2/2)^2 = 1

x^2 +2x + 1 = 5

Then factor the left side:

(x+1)^2 = 5

Then you can just solve like any other equation

al

Z forgot to add one to the right side. Should be 6 not 5